You sleep one third of your day and life. So one third of your marks will also be rested whenever you do mistakes
0
1
2
4
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1
197
187
207
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-1/2
1/2
-2
2
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32250
31250
30000
35750
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8900
8920
8940
9000
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31/3 %
21/3 %
4%
5%
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30 years
40 years
45 years
60 years
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15234 litres
16245 litres
17225 litres
17590 litres
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Rs 1.02
Rs 2.04
Rs 3.06
Rs 4.08
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3 cm
4 cm
5 cm
6 cm
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45 m
23.7 m
50.5 m
70.7 m
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Option 1
Option 2
B/a
0
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Ab
B² + a²
A4b4
A²b²
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30°
45°
60°
90°
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30
45
60
90
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4%
5%
6%
10%
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219
220
2
239
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Equilateral
Isosceles
Right angled
Isosceles Right angled
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Y = 7
Y=8
Y=9
Y=10
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(3x + 1) (2x + 3)
(x + 3) (2x + 1)
(x + 1) (2x + 3)
(3x + 3) (x + 1)
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1
9
3
6
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15250
13900
16400
12800
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4%
5%
10%
12%
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0.5%
1%
1.5%
2%
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1000 and 1500
1200 and 1300
1250 and 1250
1100 and 1400
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Rs 6000
Rs 6600
Rs 3000
Rs 3600
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5
6
8
10
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0
1
√3
Undefined
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2/3
1/3
3/4
1/2
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4
2
1
0
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2
1
3/4
1/2
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1 – A, 2 – C, 3 – B
1 – B, 2 – D, 3 – A
1 – B, 2 – A, 3 – E
1 – C, 2 – A, 3 – D
15 and 45
45 and 15
60 and 30
30 and 60
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0
30
45
60
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169
182
194
225
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15
16
17
18
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2√3 m
3√3 m
4√3 m
6√3 m
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1:2
1:3
2:1
3:1
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AB = r1
AB = r2
AC = BC
AB = r1 + r2
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√5 cm
2√5 cm
2√7 cm
√7 cm
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60
45
30
90
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30
60
90
120
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Square
Rectangle
Trapezium
Rhombus
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60
45
30
90
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R cm
√ r cm
R √3 cm
R/ √2 cm
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Square
Rectangle
Parallelogram
Rhombus
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x – 7
7 – x
7x – 1
14x
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1
-1
0
-1/2
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